In the past ten years, the study of the algebraic structure of \(\Theta _3\)  has attracted considerable renewed attention following Manolescu's disproof of the longstanding Triangulation Conjecture in high dimensions [1]}: work of Galewski-Stern [2]} and Matumoto [3]} shows that this is implied by the Rokhlin homomorphism
\(\mu :\Theta _3\rightarrow \mathbb {Z}/2\mathbb {Z}\) 
